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choli [55]
3 years ago
13

The arithmetic mean of the monthly salaries of two people is $4361. One person eams $3867 per month. What is the monthly salary

of the other person?
The monthly salary of the other person is $
(Simplify your answer.)
Mathematics
2 answers:
melomori [17]3 years ago
8 0

Answer:

$4855

Step-by-step explanation:

4,361-3867=494 (add this to the mean to get your answer, the rest is just how you prove it)

4855+3867= 8,722

8,722/2 =4,361

Elenna [48]3 years ago
8 0

Answer:

$4855

Step-by-step explanation:

The formula for mean is to add all the terms up and then divide by the number of terms, so in this case you would have:

\frac{3867+x}{2} = 4361

To solve start by multiplying both sides by 2

3867 +x = 8722 - then subtract 3867 from each side

x = 4855

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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

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Step-by-step explanation:

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The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfome
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